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Then the translational vector (37).
We propose a particular choice of the unit vectors for the graphene lattice, which consists of the symmetry vector and the translational vector of the considered carbon nanotube.
Similarly, one can construct the four-by-four affine transformation matrix M QR by using the transpose of the three-by-three rotational matrix and the minus of the translational vector from the overlay of the query conformer Q on the reference shape R. The matrix M QD is produced by the matrix multiply of M QR with M RD.
By utilizing the 3 × 3 rotational matrix and XYZ translational vector that align a 3-D chemical structure conformer to a common reference shape (retained after shape fingerprint generation), one could generate a superposition between conformers for each common reference shape.
Storage of results in a database, each entry of which has a record of the aligned residues, rotational matrix, translational vector and alignment scores.
To determine the expression pattern and subcellular localization of cbs-1, we constructed the translational vector cbs-1 GFP, cbs-1 GFPtains the promoter and the entire CBS-1 sequence tagged at the C-terminus whichGFP.
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Primitive and translational vectors are indicated.
The Euler matrices are functions of Euler angles and translational vectors E_{k} = fleft( {varPhi_{k},overrightarrow {{r_{k} }} } right),k = 1,2.
The alignment between the query conformer and database conformer is determined using the retained rotational matrices and translational vectors relative to that reference shape.
The equilibrium position of the l th unit cell relative to an origin located at some atom is r(l) = l1a + l2b + l3c, where l1, l2, and l3 are integers and a, b, and c are the primitive translational vectors.
If necessary, daily pretreatment online correction of translational vectors is applied.
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